Interestingly, when these fights happen, it is usually a result of one caring for the other but in a different sight.
Maka had once become convinced that she had to become stronger in order to prevent Soul from getting as injured as he did when the two first fought Crona, but Soul insisted that he should be the one protecting her, rather than the opposite way around.
She has trouble understanding Soul on some personal levels.
Some of these misunderstandings are not very impacting on their relationship, but some concern her.
She usually refuses his attempts to bond with her and does not like to acknowledge Spirit as her father, not hesitating to degrade him or tell him that she hates him.